Compare 12/56 and 40/9, Which fraction is greater?

Compare 12/56 and 40/9

1^st number: 12/56, 2^nd number: 4 4/9

12/56 is smaller than 40/9

Find the least common denominator or LCM of the two denominators:
LCM of 56 and 9 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 56 × 9 = 504,
12/56 = 12 × 9/56 × 9 = 108/504
Likewise, for the 2nd fraction, since 9 × 56 = 504,
40/9 = 40 × 56/9 × 56 = 2240/504
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
108/504 < 2240/504 or 12/56 < 40/9

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